cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A277481 E.g.f.: -log(1+x)*LambertW(-x).

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%I A277481 #9 Nov 10 2017 07:37:03
%S A277481 0,0,2,3,32,240,3114,44065,777720,15582168,357427770,9151281293,
%T A277481 259607392164,8070381333872,272960010908662,9976300661919345,
%U A277481 391837137436921072,16458193396472517328,736145006794621566642,34932117830021859779517,1752782822664497750549660
%N A277481 E.g.f.: -log(1+x)*LambertW(-x).
%H A277481 G. C. Greubel, <a href="/A277481/b277481.txt">Table of n, a(n) for n = 0..385</a>
%F A277481 a(n) ~ log(1+exp(-1)) * n^(n-1).
%t A277481 CoefficientList[Series[-Log[1+x]*LambertW[-x], {x, 0, 20}], x] * Range[0, 20]!
%t A277481 Table[n!*Sum[(-1)^(n-k-1)*k^(k-1)/(k!*(n-k)), {k, 1, n-1}], {n, 0, 20}] (* _Vaclav Kotesovec_, Oct 28 2016 *)
%o A277481 (PARI) x='x+O('x^50); concat([0,0], Vec(serlaplace(-log(1+x)*lambertw(-x) ))) \\ _G. C. Greubel_, Nov 08 2017
%Y A277481 Cf. A000169, A277465, A277473, A277482.
%K A277481 nonn
%O A277481 0,3
%A A277481 _Vaclav Kotesovec_, Oct 17 2016